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Finding the Fourth Proportional to 2,070.28, 3,103.71 and 975.16

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Solution

The fourth proportional to 2,070.28, 3,103.71 and 975.16 is: 1,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.28 : 3,103.71 = 975.16 : x
  2. Step 2: Convert to fraction form
    2,070.28/3,103.71 = 975.16/x
  3. Step 3: Cross multiply
    2,070.28x = 3,103.71 × 975.16
  4. Step 4: Simplify right side
    2,070.28x = 3,026,613.84
  5. Step 5: Solve for x
    x = 3,026,613.84/2,070.28
  6. Step 6: Final answer
    x = 1,461.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.